A cyclist speeding at `18 km h^-1` on a level road makes a sharp circular turn of radius 3 m without reducing the speed. The coefficient of static friction between the tyres and the road is 0.1 will the cyclist slip while taking the turn?

A bend in a level road has a radius of 100 m.Find the maximum speed with which a car turning thi bend may have without skidding,if the co-efficient of friction between the tyres and the road is 0.2.

A bend in a level road has radius of 100 m.Find the maximum speed with which a car turning this bend may have without skidding ,if the coefficient of friction between the tyres and road is 0.8.

Figure 5.18 shows a man standing stationary with respect to a horizontal conveyor belt that is accelerating with 1 m s^-2 . What is the net force on the man? If the coefficient of static friction between the man’s shoes and the belt is 0.2, up to what acceleration of the belt can the man continue to be stationary relative to the belt ? (Mass of the man = 65 kg.)

A 70 kg man stands in contact against the ineer wall of a hollow cylindrical drum of radius 3 m rotating about its vertical axis with 200 rev//min . The coeffcient of friction between the wall and his clothing is 0.15. What is the minimum rotational speed of the cylinder to enable the man of remain stuck to the wall ( without falling) when the floor ids suddenly removed?

A cyclist is riding with a speed of 27 km//h . As he approaches a circular turn on the road of radius 80 m, he applies brakes and reduces his speed at the constant rate of 0.50 m//s every second. What is the magnitude and direction of the net acceleration of the cyclist on the circular turn ?

Calculate the speed with which a vehicle can safely move on a banked circular road. How can wear and tear of tyres be reduced on such a road? (taking into consideration the friction between tyres and road).

A cyclist going at a speed of 24 km h^-1 ,takes a turn of 6.70 m radius .Find the inclination of his cycle to vertical.

A cyclist starts from the centre Oof a circular park of radius 1 km, reaches the edge P of the park, then cycles along the circumference, and returns to the centre along QO as shown in Fig. 4.21. If the round trip takes 10 min, what is the:- average speed of the cyclist ?

An aeroplane travelling at a speed of 500 km h^-1 banks at an angle of 30^@ as it makes a turn .What is the radius of the curve?